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Finding the Third Proportional to 498,554 and 1,081,228

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Solution

The third proportional to 498,554 and 1,081,228 is: 2,344,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,554 : 1,081,228 = 1,081,228 : x
  2. Step 2: Convert to fraction form
    498,554/1,081,228 = 1,081,228/x
  3. Step 3: Cross multiply
    498,554x = 1,081,228 × 1,081,228
  4. Step 4: Simplify right side
    498,554x = 1,169,053,987,984
  5. Step 5: Solve for x
    x = 1,169,053,987,984/498,554
  6. Step 6: Final answer
    x = 2,344,889.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.